Using naively the semiclassical formula for angular deflection given in Eq. 12 of [1]}, we find the bending angle of a massless scalar:
\(\theta ^{(g)}&\approx &-\frac{b}{E}\int _{-\infty }^{+\infty }du \frac{V^{\prime }(b\sqrt{1+u^2})}{\sqrt{1+u^2}} \nonumber \\&\approx &\frac{4G_N m }{b} +\frac{15 G_N^2 m^2 \pi }{4 b^2}+\frac{G_N^2 m \hbar }{\pi b^3}\biggl (8b_u + 9 +\Delta + 48\log \biggl (\frac{b}{2b_0}\biggr ) -24\log \biggl (\frac{\bar{\mu }^2}{4E^2}\biggr )\biggr ) \ ,\) 
